770106960 has 480 divisors, whose sum is σ = 3191581440. Its totient is φ = 167132160.

The previous prime is 770106923. The next prime is 770106971. The reversal of 770106960 is 69601077.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14530294 + ... + 14530346.

It is an arithmetic number, because the mean of its divisors is an integer number (6649128).

Almost surely, 2^770106960 is an apocalyptic number.

770106960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595790720).

770106960 is an abundant number, since it is smaller than the sum of its proper divisors (2421474480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

770106960 is a wasteful number, since it uses less digits than its factorization.

770106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 770106960 is about 27750.8010695187. The cubic root of 770106960 is about 916.6080832349.

The spelling of 770106960 in words is "seven hundred seventy million, one hundred six thousand, nine hundred sixty".